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mathjs/math.min.js
josdejong 3e29acbee2 data type Matrix created
2013-03-19 22:08:43 +01:00

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/**
* math.js
* https://github.com/josdejong/mathjs
*
* Math.js is an extensive math library for JavaScript and Node.js,
* It features real and complex numbers, units, matrices, a large set of
* mathematical functions, and a flexible expression parser.
*
* @version 0.5.0-SNAPSHOT
* @date 2013-03-19
*
* @license
* Copyright (C) 2013 Jos de Jong <wjosdejong@gmail.com>
*
* Licensed under the Apache License, Version 2.0 (the "License"); you may not
* use this file except in compliance with the License. You may obtain a copy
* of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
* License for the specific language governing permissions and limitations under
* the License.
*/
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t=this.parse_addsubtract(e),r={"==":"equal","!=":"unequal","<":"smaller",">":"larger","<=":"smallereq",">=":"largereq"};void 0!==r[this.token];){var n=this.token,i=Nt[r[n]];this.getToken();var a=[t,this.parse_addsubtract(e)];t=new pt(n,i,a)}return t},wt.prototype.parse_addsubtract=function(e){for(var t=this.parse_multiplydivide(e),r={"+":"add","-":"subtract"};void 0!==r[this.token];){var n=this.token,i=Nt[r[n]];this.getToken();var a=[t,this.parse_multiplydivide(e)];t=new pt(n,i,a)}return t},wt.prototype.parse_multiplydivide=function(e){for(var t=this.parse_pow(e),r={"*":"multiply","/":"divide","%":"mod",mod:"mod"};void 0!==r[this.token];){var n=this.token,i=Nt[r[n]];this.getToken();var a=[t,this.parse_pow(e)];t=new pt(n,i,a)}return t},wt.prototype.parse_pow=function(e){for(var t=this.parse_factorial(e);"^"==this.token;){var r=this.token,n=M;this.getToken();var i=[t,this.parse_factorial(e)];t=new pt(r,n,i)}return t},wt.prototype.parse_factorial=function(e){for(var t=this.parse_unaryminus(e);"!"==this.token;){var r=this.token,n=V;this.getToken();var i=[t];t=new pt(r,n,i)}return t},wt.prototype.parse_unaryminus=function(e){if("-"==this.token){var t=this.token,r=R;this.getToken();var n=[this.parse_plot(e)];return new pt(t,r,n)}return this.parse_plot(e)},wt.prototype.parse_plot=function(e){return this.parse_symbol(e)},wt.prototype.parse_symbol=function(e){if(this.token_type==this.TOKENTYPE.SYMBOL){var t=this.token;this.getToken();var r=e.createLink(t),n=this.parse_arguments(e),i=new pt(t,r,n);return i}return this.parse_string(e)},wt.prototype.parse_arguments=function(e){var t=[];if("("==this.token){if(this.getToken(),")"!=this.token)for(t.push(this.parse_range(e));","==this.token;)this.getToken(),t.push(this.parse_range(e));if(")"!=this.token)throw this.createSyntaxError("Parenthesis ) missing");this.getToken()}return t},wt.prototype.parse_string=function(e){if('"'==this.token){for(var t="",r="";""!=this.c&&('"'!=this.c||"\\"==r);)t+=this.c,r=this.c,this.getChar();if(this.getToken(),'"'!=this.token)throw this.createSyntaxError('End of string " missing');this.getToken();var n=new mt(t);return n}return this.parse_matrix(e)},wt.prototype.parse_matrix=function(e){if("["==this.token){var t;for(this.getToken();"\n"==this.token;)this.getToken();if("]"!=this.token){var r=[],n=0,i=0;for(r[0]=[this.parse_range(e)];","==this.token||";"==this.token;){for(","==this.token?i++:(n++,i=0,r[n]=[]),this.getToken();"\n"==this.token;)this.getToken();for(r[n][i]=this.parse_range(e);"\n"==this.token;)this.getToken()}var a=r.length,s=r.length>0?r[0].length:0;for(n=1;a>n;n++)if(r[n].length!=s)throw this.createError("Number of columns must match ("+r[n].length+" != "+s+")");if("]"!=this.token)throw this.createSyntaxError("End of matrix ] missing");this.getToken(),t=new vt(r)}else this.getToken(),t=new vt([]);for(;"("==this.token;)t=this.parse_arguments(e,t);return t}return this.parse_number(e)},wt.prototype.parse_number=function(t){if(this.token_type==this.TOKENTYPE.NUMBER){var r;r="."==this.token?0:Number(this.token),this.getToken();var n;if(this.token_type==this.TOKENTYPE.SYMBOL){if("i"==this.token||"I"==this.token)return n=new e(0,r),this.getToken(),new mt(n);if(a.isUnit(this.token))return n=new a(r,this.token),this.getToken(),new mt(n);throw this.createTypeError('Unknown unit "'+this.token+'"')}var i=new mt(r);return i}return this.parse_parentheses(t)},wt.prototype.parse_parentheses=function(e){if("("==this.token){this.getToken();var t=this.parse_range(e);if(")"!=this.token)throw this.createSyntaxError("Parenthesis ) expected");return this.getToken(),t}return this.parse_end(e)},wt.prototype.parse_end=function(){throw""==this.token?this.createSyntaxError("Unexpected end of expression"):this.createSyntaxError("Value expected")},wt.prototype.row=function(){return void 0},wt.prototype.col=function(){return this.index-this.token.length+1},wt.prototype.createErrorMessage=function(e){var t=this.row(),r=this.col();return void 0===t?void 0===r?e:e+" (col "+r+")":e+" (ln "+t+", col "+r+")"},wt.prototype.createSyntaxError=function(e){return new SyntaxError(this.createErrorMessage(e))},wt.prototype.createTypeError=function(e){return new TypeError(this.createErrorMessage(e))},wt.prototype.createError=function(e){return Error(this.createErrorMessage(e))},Nt.parser.Workspace=Et,Et.prototype.clear=function(){this.nodes={},this.firstNode=void 0,this.lastNode=void 0},Et.prototype.append=function(e){var t=this._getNewId(),r=this.lastNode?this.lastNode.scope:this.scope,n=new xt(r),i=new Et.Node({id:t,expression:e,parser:this.parser,scope:n,nextNode:void 0,previousNode:this.lastNode});return this.nodes[t]=i,this.firstNode||(this.firstNode=i),this.lastNode&&(this.lastNode.nextNode=i),this.lastNode=i,this._update([t]),t},Et.prototype.insertBefore=function(e,t){var r=this.nodes[t];if(!r)throw'Node with id "'+t+'" not found';var n=r.previousNode,i=this._getNewId(),a=n?n.scope:this.scope,s=new xt(a),o=new Et.Node({id:i,expression:e,parser:this.parser,scope:s,nextNode:r,previousNode:n});this.nodes[i]=o,n?n.nextNode=o:this.firstNode=o,r.previousNode=o,r.scope.parentScope=o.scope;var f=this.getDependencies(i);return-1==f.indexOf(i)&&f.unshift(i),this._update(f),i},Et.prototype.insertAfter=function(e,t){var r=this.nodes[t];if(!r)throw'Node with id "'+t+'" not found';return r==this.lastNode?this.append(e):this.insertBefore(t+1,e)},Et.prototype.remove=function(e){var t=this.nodes[e];if(!t)throw'Node with id "'+e+'" not found';var r=this.getDependencies(e),n=t.previousNode,i=t.nextNode;n?n.nextNode=i:this.firstNode=i,i?i.previousNode=n:this.lastNode=n;var a=n?n.scope:this.scope;i&&(i.scope.parentScope=a),delete this.nodes[e],this._update(r)},Et.prototype.replace=function(e,t){var r=this.nodes[t];if(!r)throw'Node with id "'+t+'" not found';var n=[t];Et._merge(n,this.getDependencies(t));var i=r.previousNode;r.nextNode,i?i.scope:this.scope,r.setExpr(e),Et._merge(n,this.getDependencies(t)),this._update(n)},Et.Node=function(e){this.id=e.id,this.parser=e.parser,this.scope=e.scope,this.nextNode=e.nextNode,this.previousNode=e.previousNode,this.updateSeq=0,this.result=void 0,this.setExpr(e.expression)},Et.Node.prototype.setExpr=function(e){this.expression=e||"",this.scope.clear(),this._parse()},Et.Node.prototype.getExpr=function(){return this.expression},Et.Node.prototype.getResult=function(){return this.result},Et.Node.prototype._parse=function(){try{this.fn=this.parser.parse(this.expression,this.scope)}catch(e){var t="Error: "+((e.message||e)+"");this.fn=new mt(t)}},Et.Node.prototype.eval=function(){try{this.scope.init(),this.result=this.fn.eval()}catch(e){this.scope.init(),this.result="Error: "+((e.message||e)+"")}return this.result},Et._merge=function(e,t){for(var r=0,n=t.length;n>r;r++){var i=t[r];-1==e.indexOf(i)&&e.push(i)}},Et.prototype.getDependencies=function(e){var t,r=[],n=this.nodes[e];if(n){var i=n.scope.defs,a=n.scope.updates,s=[];for(t in i)i.hasOwnProperty(t)&&s.push(t);for(t in a)a.hasOwnProperty(t)&&-1==s.indexOf(t)&&s.push(t);for(var o=n.nextNode;o&&s.length;){for(var f=o.scope,u=0;s.length>u;){if(t=s[u],(f.hasLink(t)||f.hasUpdate(t))&&-1==r.indexOf(o.id)){r.push(o.id);var l=this.getDependencies(o.id);Et._merge(r,l)}f.hasDef(t)&&(s.splice(u,1),u--),u++}o=o.nextNode}}return r},Et.prototype.getExpr=function(e){var t=this.nodes[e];if(!t)throw'Node with id "'+e+'" not found';return t.getExpr()},Et.prototype.getResult=function(e){var t=this.nodes[e];if(!t)throw'Node with id "'+e+'" not found';return t.getResult()},Et.prototype._update=function(e){this.updateSeq++;for(var t=this.updateSeq,r=this.nodes,n=0,i=e.length;i>n;n++){var a=e[n],s=r[a];s&&(s.eval(),s.updateSeq=t)}},Et.prototype.getChanges=function(e){var t=[],r=this.firstNode;for(e=e||0;r;)r.updateSeq>e&&t.push(r.id),r=r.nextNode;return{ids:t,updateSeq:this.updateSeq}},Et.prototype._getNewId=function(){return this.idMax++,this.idMax},Et.prototype.toString=function(){return JSON.stringify(this.toJSON())},Et.prototype.toJSON=function(){for(var e=[],t=this.firstNode;t;){var r={id:t.id,expression:t.expression,dependencies:this.getDependencies(t.id)};try{r.result=t.getResult()}catch(n){r.result="Error: "+((n.message||n)+"")}e.push(r),t=t.nextNode}return e}})();
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